Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800bd |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
761400000000 = 29 · 34 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313408,67428188] |
[a1,a2,a3,a4,a6] |
Generators |
[-637:3000:1] |
Generators of the group modulo torsion |
j |
425564453260232/95175 |
j-invariant |
L |
10.362965047621 |
L(r)(E,1)/r! |
Ω |
0.71360020842842 |
Real period |
R |
3.6305219861567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800bp4 22560m4 |
Quadratic twists by: -4 5 |